The emperor's new mathematics: western learning and imperial authority during the Kangxi Reign (1662 - 1722)
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2012
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 436 S. Ill., graph. Darst., Kt. |
| ISBN: | 9780199601400 0199601402 |
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Titel: The emperor's new mathematics
Autor: Jami, Catherine
Jahr: 2012
CONTENTS
List of Boxes, Tables, Charts and Illustrations xiii
Introduction 1
Part I Western learning and the Ming-Qing transition
Chapter 1 The Jesuits and mathematics in China, 1582-1644 13
1.1 Mathematics and literati culture in China c.1600 14
1.2 Mathematics in the Society of Jesus 22
1.3 Teaching and translating 24
1.4 Jesuit science, 'practical learning' and
astronomical reform 31
Chapter 2 Western learning under the new dynasty (1644-1666) 35
2.1 Dynastic transition in Beijing: a new calendar for
new rulers 36
2.2 Adam Schall, imperial astronomer 38
2.3 Jiangnan scholars and the Jesuits 41
2.4 Number and magnitude expanded: a scholar's
mathematics 44
2.5 Schall's defeat: the 1664 impeachment 49
Part II The first two decades of Kangxi's rule
Chapter 3 The emperor and his astronomer (1668-1688) 57
3.1 Kangxi's takeover and the rehabilitation of Jesuit
astronomy 57
3.2 Ferdinand Verbiest, imperial astronomer
and tutor 65
3.3 Kangxi, student of Chinese and Western learning 73
3.4 Philosophy, 'fathoming the principles' and
orthodoxy 78
Chapter 4 A mathematical scholar in Jiangnan: the first half-life
of Mei Wending 82
4.1 Mei Wending's early career 83
4.2 Integrating Chinese and Western mathematics 86
4.3 The Discussion of rectangular arrays: restoring one
of the 'nine reckonings' 90
4.4 Writing mathematics: purpose, structure and
style of the Discussion of rectangular arrays 93
Chapter 5 The 'King's Mathematicians': a French Jesuit
mission in China 102
5.1 Setting up a scientific expedition to China 102
5.2 From Brest to Beijing 108
5.3 In the capital 112
5.4 Travels and observations in China 116
Chapter 6 Inspecting the southern sky: Kangxi at the
Nanjing observatory 120
6.1 The Imperial Diary 121
6.2 Li Guangdi's recollection 127
6.3 The Jesuits'role 131
6.4 Imperial investigation of the Old Man Star 133
Part III Mathematics for the emperor
Chapter 7 Teaching 'French science' at the court: Gerbillon
and Bouvet's tutoring 139
7.1 Chronology of the lessons 141
7.2 The Academie, the Moderns and the way to God 144
7.3 A typical lesson: 10 April 1690 148
7.4 The imperial workshop and instruments 151
7.5 Chinese, Manchu and the control of Western
science 156
Chapter 8 The imperial road to geometry: new Elements of
geometry 160
8.1 Changing the textbook 160
8.2 Pardies' Elemens de geometrie: the pedagogy of
geometry in seventeenth-century France 162
8.3 The double translation 166
8.4 Diamonds and pearls: ratios in the new Elements 169
8.5 Practical geometry 173
8.6 The emperor's role in the composition of
the new Elements 176
Chapter 9 Calculation for the emperor: the writings of
a discreet mathematician 180
9.1 Antoine Thomas (1644-1709) and his Synopsis
mathematica 180
9.2 The Outline of the essentials of calculation 184
9.3 Practical geometry and tables 191
9.4 The foundations of calculation: back to Euclid 195
9.5 Cossic algebra: the Calculation by borrowed root
and powers and its summary 200
9.6 Symbolic linear algebra: a treatise within the
treatise 210
Contents
Chapter 10 Astronomy in the capital (1689-1693): scholars,
officials and ruler 214
10.1 Mei Wending in Beijing 214
10.2 A patron's commission: the Doubts concerning
the study of astronomy 218
10.3 Three solar eclipses 222
10.4 An imperial pronouncement on mathematics
and classical scholarship 229
10.5 The officials' responses 233
Part IV Turning to Chinese scholars and Bannermen
Chapter 11 The 1700s: reversal of alliance? 239
11.1 Locating the Beijing Jesuits c. 1700 240
11.2 The mathematical sciences in history 245
11.3 From favour to distrust: the papal legation 253
11.4 The Jesuits as imperial cartographers 255
11.5 Assessing mathematical talent: Chen Houyao's
interview 257
Chapter 12 The Office of Mathematics: foundation and staff 260
12.1 The Summer solstice of 1711 260
12.2 Selecting talented men 262
12.3 The mathematical staff at the emperor's
sixtieth birthday 265
12.4 An editorial project in the mathematical
sciences 267
12.5 The imperial princes 273
12.6 Mathematicians, astronomy and cartography 277
12.7 The mathematical sciences in examinations 280
Chapter 13 The Jesuits and innovation in imperial science:
Jean-Francois Foucquet's treatises 284
13.1 Foucquet in Beijing: from the Book of Change to
astronomy 284
13.2 The Dialogue on astronomical methods:
a reform proposal? 287
13.3 Foucquet's writings on mathematics 294
13.4 Symbols in the New method of algebra 300
13.5 The Jesuits and the Office of Mathematics 305
13.6 Tables and the standardisation of
mathematical sciences 309
Part V Mathematics for the Empire
Chapter 14 The construction of the Essence of numbers and
their principles 315
14.1 Outline 315
14.2 Sources 320
14.3 The historical narrative of mathematics 323
14.4 The structure of imperial mathematics 327
14.5 Rephrasing the Jesuits' textbooks 330
14.6 Vocabulary and classification 333
Chapter 15 Methods and material culture in the Essence of
numbers and their principles 340
15.1 Problems and their genealogy: Master Sun
and Hieron 341
15.2 Inkstones and brushes 345
15.3 Weighing up the difficulty of problems 348
15.4 Algebra and the problems of the 'Line Section' 352
15.5 The remainder problem 354
15.6 The construction and use of instruments 356
15.7 Timekeeping 358
Chapter 16 A new mathematical classic? 364
16.1 Yongzheng's preface 364
16.2 Harmonics and astronomy 368
16.3 The contributors 373
16.4 Supplements to the Origins ofpitchpipes and
the calendar 378
16.5 The study of mathematics in mid-Qing China 382
Conclusion 385
Main Units 393
Bibliography 395
1 Mathematical and astronomical manuscripts
from the Kangxi court 395
2 Editions used for main other Chinese works on
mathematics, astronomy and harmonics 397
3 Other sources 397
4 Secondary literature 400
Index 421 |
| any_adam_object | 1 |
| author | Jami, Catherine 1961- |
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| bvnumber | BV039657203 |
| classification_rvk | AK 17620 SG 515 |
| ctrlnum | (OCoLC)773025556 (DE-599)BVBBV039657203 |
| discipline | Allgemeines Mathematik |
| format | Book |
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| indexdate | 2024-11-19T13:01:58Z |
| institution | BVB |
| isbn | 9780199601400 0199601402 |
| language | English |
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| spelling | Jami, Catherine 1961- Verfasser (DE-588)172166748 aut The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) Catherine Jami Oxford [u.a.] Oxford Univ. Press 2012 XV, 436 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Qing Shengzu China, Kaiser 1654-1722 (DE-588)118814273 gnd rswk-swf Jesuiten (DE-588)80092-2 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Qing Shengzu China, Kaiser 1654-1722 (DE-588)118814273 p Jesuiten (DE-588)80092-2 b Naturwissenschaften (DE-588)4041421-8 s Mathematik (DE-588)4037944-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024506729&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jami, Catherine 1961- The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) Qing Shengzu China, Kaiser 1654-1722 (DE-588)118814273 gnd Jesuiten (DE-588)80092-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Mathematik (DE-588)4037944-9 gnd |
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| title | The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) |
| title_auth | The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) |
| title_exact_search | The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) |
| title_full | The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) Catherine Jami |
| title_fullStr | The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) Catherine Jami |
| title_full_unstemmed | The emperor's new mathematics western learning and imperial authority during the Kangxi Reign (1662 - 1722) Catherine Jami |
| title_short | The emperor's new mathematics |
| title_sort | the emperor s new mathematics western learning and imperial authority during the kangxi reign 1662 1722 |
| title_sub | western learning and imperial authority during the Kangxi Reign (1662 - 1722) |
| topic | Qing Shengzu China, Kaiser 1654-1722 (DE-588)118814273 gnd Jesuiten (DE-588)80092-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Qing Shengzu China, Kaiser 1654-1722 Jesuiten Naturwissenschaften Mathematik |
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